GENERALIZED DIMENSIONS, ENTROPIES, AND LIAPUNOV EXPONENTS FROM THE PRESSURE FUNCTION FOR STRANGE SETS

被引:56
作者
BESSIS, D
PALADIN, G
TURCHETTI, G
VAIENTI, S
机构
[1] ECOLE NORMALE SUPER,PHYS THEOR LAB,F-75231 PARIS,FRANCE
[2] IST NAZL FIS NUCL,BOLOGNA,ITALY
[3] UNIV BOLOGNA,DEPARTIMENTO FIS,I-40126 BOLOGNA,ITALY
[4] UNIV PARIS 11,ECOLE NORMALE SUPER,CNRS,PHYS THEOR LAB,F-91405 ORSAY,FRANCE
[5] UNIV BOLOGNA,DEPARTIMENTO FIS,I-40126 BOLOGNA,ITALY
关键词
D O I
10.1007/BF01015323
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
引用
收藏
页码:109 / 134
页数:26
相关论文
共 39 条
[1]   HAUSDORFF DIMENSION AND UNIFORMITY FACTOR OF STRANGE ATTRACTORS [J].
BADII, R ;
POLITI, A .
PHYSICAL REVIEW LETTERS, 1984, 52 (19) :1661-1664
[2]   KOLMOGOROV ENTROPY AND NUMERICAL EXPERIMENTS [J].
BENETTIN, G ;
GALGANI, L ;
STRELCYN, JM .
PHYSICAL REVIEW A, 1976, 14 (06) :2338-2345
[3]   CHARACTERIZATION OF INTERMITTENCY IN CHAOTIC SYSTEMS [J].
BENZI, R ;
PALADIN, G ;
PARISI, G ;
VULPIANI, A .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1985, 18 (12) :2157-2165
[4]   ON THE MULTIFRACTAL NATURE OF FULLY-DEVELOPED TURBULENCE AND CHAOTIC SYSTEMS [J].
BENZI, R ;
PALADIN, G ;
PARISI, G ;
VULPIANI, A .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1984, 17 (18) :3521-3531
[5]  
BERNSLEY MF, 1985, P R SOC LOND A, V399, P243
[6]   THE ENTROPY FUNCTION FOR CHARACTERISTIC EXPONENTS [J].
BOHR, T ;
RAND, D .
PHYSICA D, 1987, 25 (1-3) :387-398
[7]  
BOWEN R, 1970, LECTURE NOTES MATH, V470
[8]   INVRAIANT SETS UNDER ITERATION OF RATIONAL FUNCTIONS [J].
BROLIN, H .
ARKIV FOR MATEMATIK, 1965, 6 (02) :103-&
[9]   THE DIMENSION SPECTRUM OF SOME DYNAMIC-SYSTEMS [J].
COLLET, P ;
LEBOWITZ, JL ;
PORZIO, A .
JOURNAL OF STATISTICAL PHYSICS, 1987, 47 (5-6) :609-644
[10]  
Cornfeld IP, 1980, ERGODIC THEORY